Home
Class 11
MATHS
Lt(x to 1) (1+sin pi x)^(cot pi x)=...

`Lt_(x to 1) (1+sin pi x)^(cot pi x)=`

A

e

B

`e^(2)`

C

`e^(3)`

D

`1//e`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    AAKASH SERIES|Exercise EXERCISE-II|100 Videos
  • LIMITS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|143 Videos
  • LIMITS

    AAKASH SERIES|Exercise ADDITIONL EXERCISE|28 Videos
  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIOS)|5 Videos
  • LOCUS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

Similar Questions

Explore conceptually related problems

underset(x to 0)"Lt" (1+sin x)^(cot x)=

underset(x to 1)"Lt " (log(1-x))/(cot pi x)=

underset(x to 1)"Lt" (1-x)^(tan pi x)=

Lt_(x to (pi)/(2)) (sin x)^(tanx)=

Lt_(x to pi)[x]=

(cos (pi +x) cos (-x))/( sin (pi -x) cos ((pi )/(2) + x))= cot ^(2) x

underset(x to 0)"Lt" x^(2) sin (pi//x)=

Lt_(x to (1)/(2)) (sin^(-1)x-(pi)/(6))/(2x-1)=

Lt_(x to oo)x cos ((pi)/(4x))sin((pi)/(4x))=

Lt_(x to (pi)/(2)) ((1+cosx)/(1-cosx))^(secx)=